What is the Least Common Multiple of 44673 and 44692?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 44673 and 44692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44673 and 44692, than apply into the LCM equation.

GCF(44673,44692) = 1
LCM(44673,44692) = ( 44673 × 44692) / 1
LCM(44673,44692) = 1996525716 / 1
LCM(44673,44692) = 1996525716

Least Common Multiple (LCM) of 44673 and 44692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44673 and 44692. First we will calculate the prime factors of 44673 and 44692.

Prime Factorization of 44673

Prime Factorization of 44692

Now multiplying the highest exponent prime factors to calculate the LCM of 44673 and 44692.

LCM(44673,44692) = 3¹ × 14891¹ × 2² × 11173¹
LCM(44673,44692) = 1996525716